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Finding the Third Proportional to 486,720 and 1,130,784

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Solution

The third proportional to 486,720 and 1,130,784 is: 2,627,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,720 : 1,130,784 = 1,130,784 : x
  2. Step 2: Convert to fraction form
    486,720/1,130,784 = 1,130,784/x
  3. Step 3: Cross multiply
    486,720x = 1,130,784 × 1,130,784
  4. Step 4: Simplify right side
    486,720x = 1,278,672,454,656
  5. Step 5: Solve for x
    x = 1,278,672,454,656/486,720
  6. Step 6: Final answer
    x = 2,627,121.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.